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On the cohomology of extensions by a Heisenberg Lie algebra

Published online by Cambridge University Press:  17 April 2009

Hannes Pouseele
Hannes Pouseele
Affiliation:
Katholieke Universiteit Leuven (KULAK), Etienne Sabbelaan 53, 8500 Kortrijk, Belgium, e-mail: hannes.pouseele@kulak.ac.be
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This article describes the cohomology spaces of any Lie algebra containing a Lie algebra of Heisenberg type (whose cohomology was studied by Santharoubane) as an ideal of codimension 1. For instance, the twisted standard filiform Lie algebras are of this kind. We give an explicit formula for the Betti numbers of this Lie algebra, and use this to describe new families of algebras whose Betti numbers do not behave unimodally.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 3 , June 2005 , pp. 459 - 470
Copyright
Copyright © Australian Mathematical Society 2005

References

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